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A central limit theorem for binary tree is numerically examined. Two types ofcentral limit theorem for higher-order branches are formulated. A topologicalstructure of a binary tree is expressed by a binary sequence, and theHorton-Strahler indices are calculated by using the sequence. By fitting theGaussian distribution function to our numerical data, the values of variancesare determined and written in simple forms.

Numerical Approach to Central Limit Theorem for Bifurcation Ratio of Random Binary Tree